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122121303131 is a prime number
BaseRepresentation
bin111000110111011111…
…1110011010001011011
3102200012211202222100002
41301232333303101123
54000101023200011
6132033551203215
711552164643432
oct1615677632133
9380184688302
10122121303131
1147878323603
121b80221650b
13b692823819
145ca6d7a119
15329b329c3b
hex1c6eff345b

122121303131 has 2 divisors, whose sum is σ = 122121303132. Its totient is φ = 122121303130.

The previous prime is 122121303091. The next prime is 122121303137. The reversal of 122121303131 is 131303121221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122121303131 - 26 = 122121303067 is a prime.

It is a super-2 number, since 2×1221213031312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122121303137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060651565 + 61060651566.

It is an arithmetic number, because the mean of its divisors is an integer number (61060651566).

Almost surely, 2122121303131 is an apocalyptic number.

122121303131 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121303131 is an equidigital number, since it uses as much as digits as its factorization.

122121303131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122121303131 its reverse (131303121221), we get a palindrome (253424424352).

The spelling of 122121303131 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred three thousand, one hundred thirty-one".